Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Accounting for sample design and clustering, what is the minimum detectable effect size for main outcomes. Specify the unit, standard deviation, and percentage.
Our power calculations are based on an initial ingest of data for the GIP control group only. All calculations assume an alpha level of 5% and 80% power.
For cumulative turnover, based on a mean of 6003.5 thousand pounds, a standard deviation of 5650.2 thousand pounds, and an R-squared of 36.7% for covariates, our minimum detectable effect size is 1114.2 thousand pounds, or a difference of 18.6% between the treatment and control groups.
For cumulative employment (“job years”), based on a mean of 90.5 job years, a standard deviation of 86.2 job years, and an R-squared of 56.0% for covariates, our minimum detectable effect size is 14.2 job years, or a difference of 15.7% between the treatment and control groups.
For productivity, based on a mean of 97.5 thousand pounds per employee, a standard deviation of 77.2 thousand pounds per employee, and an R-squared of 3.1% for covariates, our minimum detectable effect size is 18.8 thousand pounds per employee, or a difference of 19.3% between the treatment and control groups.
Our updated power calculations, based on the observed variance in the administrative data for the control group, indicate a Minimum Detectable Effect Size (MDES) for our primary nominal outcomes that is substantially higher than was anticipated in the original trial design.